Question

cube roots of -8+0i

Answer 1

is it real or imaginary?

Answer 2

umm real I think

Answer 3

it is, so just treat it like a real cubed root

Answer 4

Yeah I don't understand how to solve it though

Answer 5

what don't you understand?

Answer 6

What to do next haha

Answer 7

take the cubed root

Answer 8

I got a weird decimal when I put it in my calculator

Answer 9

...did you take the cubed root or the square root. It's an integer in fact you should memorize it

Answer 10

I made sure to take the cubed root

Answer 11

Oh wait should I have it on degree form?

Answer 12

what exponent is cubed root?

Answer 13

that doesn't matter

Answer 14

3

Answer 15

no

Answer 16

that may be your issue

Answer 17

cubed root isnt 3?

Answer 18

the exponent form? no

Answer 19

Well then what is it?

Answer 20

\(\frac{1}{3}\) If you are in complex, you should know that by now

Answer 21

you are going to be in big trouble if you don't learn that conversion

Answer 22

Ohhh yeah I knew that I just forgot for a second. Yeah I know thanks for the reminder

Answer 23

np, but so since it's real you can cheat and do it that way; however, if it wasn't or they wanted all of the roots, you'd need to convert to polar then solve

Answer 24

Oh okay well I got -512 from my calculator but it would be helpful if you could show me the way where you convert it to polar form

Answer 25

noooo not 512

Answer 26

you're calc is extremely wrong

Answer 27

what are you inputting?

Answer 28

I put 1/3 square root of -8+0i

Answer 29

yea must be why input this exactly \((-8+0i)^{(\frac{1}{3})}\)

Answer 30

okay
I got 1+ 1.7320...

Answer 31

no.... ok well that's weird. So cube root of -8 try that so (-8)^(1/3)

Answer 32

I got -2

Answer 33

finally, yea, that is the answer

Answer 34

test it -2^3 =-8?

Answer 35

what level math are you?

Answer 36

/hs or college?

Answer 37

highschool

Answer 38

Yeah I tested it it works

Answer 39

ohh k so I need to know if you've learned this form \[Re^{i\theta}=R(cos \theta+ isin \theta)\]

Answer 40

if you haven't forget I mentioned it

Answer 41

everything but the e exponent

Answer 42

So you have not seen that eq?

Answer 43

nope

Answer 44

then I don't think they require the polar switch for you

Answer 45

Hmm okay so how would I find the answer?

Answer 46

it wouldn't just be -2 would it?

Answer 47

technically there are 3 answers

Answer 48

there must be by this one theorem

Answer 49

but you have not gotten there and it would cofuse the heck out of you so don't worry about it

Answer 50

Oh okay well that was a lot easier than it looked... thanks

Answer 51

np have a good one